login
Number of integer solutions to a^2 + 2*b^2 + 4*c^2 + 11*d^2 = n.
11

%I #11 Oct 08 2018 02:50:19

%S 1,2,2,4,4,4,8,8,6,6,8,6,12,16,8,16,20,24,26,24,20,24,32,24,32,14,24,

%T 40,32,24,24,32,22,64,32,24,40,36,56,40,32,8,48,32,42,56,20,48,72,74,

%U 42,72,52,56,88,48,56,40,56,76,76,56,36,96,52,88,112,44,64,92,88

%N Number of integer solutions to a^2 + 2*b^2 + 4*c^2 + 11*d^2 = n.

%C a(n) > 0 for n >= 0.

%H Seiichi Manyama, <a href="/A320199/b320199.txt">Table of n, a(n) for n = 0..10000</a>

%F G.f.: theta_3(q) * theta_3(q^2) * theta_3(q^4) * theta_3(q^11).

%Y Cf. A320193, A320194, A320195, A320196, A033720, A320197, A320198, A320200, A320201, A320202.

%K nonn

%O 0,2

%A _Seiichi Manyama_, Oct 07 2018